Search a number
-
+
10344104223204 = 22317295213356039
BaseRepresentation
bin1001011010000110110010…
…1010000110000111100100
31100121212221102000221212210
42112201230222012013210
52323434211140120304
634000003232443420
72115223355106033
oct226415452060744
940555842027783
1010344104223204
113328a01188a64
1211b090b6a9570
135a05a241cc0b
1427a92b96271a
1512e119599c89
hex9686ca861e4

10344104223204 has 96 divisors (see below), whose sum is σ = 26488015545600. Its totient is φ = 3127290449920.

The previous prime is 10344104223151. The next prime is 10344104223223. The reversal of 10344104223204 is 40232240144301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404217 + ... + 4760255.

It is an arithmetic number, because the mean of its divisors is an integer number (275916828600).

Almost surely, 210344104223204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344104223204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244007772800).

10344104223204 is an abundant number, since it is smaller than the sum of its proper divisors (16143911322396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344104223204 is a wasteful number, since it uses less digits than its factorization.

10344104223204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356613 (or 3356611 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10344104223204 its reverse (40232240144301), we get a palindrome (50576344367505).

The spelling of 10344104223204 in words is "ten trillion, three hundred forty-four billion, one hundred four million, two hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 521 986 1042 1479 1563 1972 2084 2958 3126 5916 6252 8857 15109 17714 26571 30218 35428 45327 53142 60436 90654 106284 181308 256853 513706 770559 1027412 1541118 3082236 3356039 6712078 10068117 13424156 20136234 40272468 57052663 97325131 114105326 171157989 194650262 228210652 291975393 342315978 389300524 583950786 684631956 1167901572 1654527227 1748496319 3309054454 3496992638 4963581681 5245488957 6618108908 6993985276 9927163362 10490977914 19854326724 20981955828 29724437423 50706393251 59448874846 89173312269 101412786502 118897749692 152119179753 178346624538 202825573004 304238359506 356693249076 608476719012 862008685267 1724017370534 2586026055801 3448034741068 5172052111602 10344104223204